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Don’t Give Up on Algebra: Let’s Shift the Focus to Instruction

National Science Foundation

Similarly, reformers have focused on the timing of the course, aiming to enroll students as early as possible to open pathways to calculus and to diversify access to higher level mathematics. Opinion: Modern high school math should be about data science—not Algebra 2. Institute of Education Sciences. Boaler & Leavitt, 2019).

Algebra 76
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What should mathematics majors know about computing, and when should they know it?

Robert Talbert, Ph.D.

First, I know more computer science and computer programming now than I did in 2007. I’ve taken a MOOC on algorithms and read, in whole or in part, books and articles that contain significant discussions of computer science-y things like time complexity and NP-completeness. Mostly this is because of two things.

educators

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The Story Continues: Announcing Version 14 of Wolfram Language and Mathematica

Stephen Wolfram

And in the past few months we’ve been steadily adding connections to the full range of popular LLMs, making Wolfram Language a unique hub not only for LLM usage, but also for studying the performance—and science—of LLMs. So did that mean we were “finished” with calculus? And in Version 14 there are significant advances around calculus.

Computer 102
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How Did We Get Here? The Tangled History of the Second Law of Thermodynamics

Stephen Wolfram

Meanwhile, at the beginning of the 1800s Joseph Fourier (1768–1830) (science advisor to Napoleon) developed what became his 1822 Analytical Theory of Heat , and in it he begins by noting that : Heat, like gravity, penetrates every substance of the universe, its rays occupy all parts of space.

Energy 88
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Multicomputation: A Fourth Paradigm for Theoretical Science

Stephen Wolfram

But what I’ve increasingly been realizing is that actually it’s showing us something even bigger and deeper: a whole fundamentally new paradigm for making models and in general for doing theoretical science. But there remained plenty of phenomena—particularly associated with complexity—that this paradigm seemed to have little to say about.

Science 64
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Even beyond Physics: Introducing Multicomputation as a Fourth General Paradigm for Theoretical Science

Stephen Wolfram

But what I’ve increasingly been realizing is that actually it’s showing us something even bigger and deeper: a whole fundamentally new paradigm for making models and in general for doing theoretical science. But there remained plenty of phenomena—particularly associated with complexity—that this paradigm seemed to have little to say about.

Physics 65
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Expression Evaluation and Fundamental Physics

Stephen Wolfram

Since the standard Wolfram Language evaluator evaluates arguments first (“leftmost-innermost evaluation”), it therefore won’t terminate in this case—even though there are branches in the multiway evaluation (corresponding to “outermost evaluation”) that do terminate. As the Version 1.0

Physics 108